7879753728 has 384 divisors, whose sum is σ = 28462112640. Its totient is φ = 2040791040.

The previous prime is 7879753727. The next prime is 7879753811. The reversal of 7879753728 is 8273579787.

7879753728 is a `hidden beast` number, since 7 + 8 + 7 + 97 + 537 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7879753723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22708051 + ... + 22708397.

It is an arithmetic number, because the mean of its divisors is an integer number (74120085).

Almost surely, 2^7879753728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7879753728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14231056320).

7879753728 is an abundant number, since it is smaller than the sum of its proper divisors (20582358912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7879753728 is a wasteful number, since it uses less digits than its factorization.

7879753728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 370 counting only the distinct ones).

The product of its digits is 41489280, while the sum is 63.

The square root of 7879753728 is about 88767.9769286199. The cubic root of 7879753728 is about 1989.9288484110.

The spelling of 7879753728 in words is "seven billion, eight hundred seventy-nine million, seven hundred fifty-three thousand, seven hundred twenty-eight".